Question

Which ordered pair satisfies the system of equations below? 3x – y = 8
x + y = 2
Question 1 options: A. (3, −1) B. (2.5, −0.5) C. (2.5, 0.5) D. (5, −3)

Answer 1

the answer would be B. (2.5, -0.5) 

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :) 

Answer 2

An ordered pair is the pair of x and y values

The ordered pair is: (b) (2.5, -0.5)

The equations are given as:

$3x - y = 8$

$x + y = 2$

Make x the subject in $x + y = 2$

$x = 2 - y$

Substitute $x = 2 - y$ in $3x - y = 8$

$3(2 -y) - y = 8$

$6 -3y - y = 8$

$6 -4y = 8$

Collect like terms

$-4y = 8 - 6$

$-4y = 2$

Divide both sides by -4

$y =-0.5$

Substitute $y =-0.5$ in $x = 2 - y$

$x = 2--0.5$

$x = 2.5$

Hence, the ordered pair is: (2.5, -0.5)

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